Lattice Models And Complex Systems
DOWNLOAD
Download Lattice Models And Complex Systems PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Lattice Models And Complex Systems book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Equilibrium Statistical Mechanics Of Lattice Models
DOWNLOAD
Author : David A. Lavis
language : en
Publisher: Springer
Release Date : 2015-01-31
Equilibrium Statistical Mechanics Of Lattice Models written by David A. Lavis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-31 with Science categories.
Most interesting and difficult problems in equilibrium statistical mechanics concern models which exhibit phase transitions. For graduate students and more experienced researchers this book provides an invaluable reference source of approximate and exact solutions for a comprehensive range of such models. Part I contains background material on classical thermodynamics and statistical mechanics, together with a classification and survey of lattice models. The geometry of phase transitions is described and scaling theory is used to introduce critical exponents and scaling laws. An introduction is given to finite-size scaling, conformal invariance and Schramm—Loewner evolution. Part II contains accounts of classical mean-field methods. The parallels between Landau expansions and catastrophe theory are discussed and Ginzburg--Landau theory is introduced. The extension of mean-field theory to higher-orders is explored using the Kikuchi--Hijmans--De Boer hierarchy of approximations. In Part III the use of algebraic, transformation and decoration methods to obtain exact system information is considered. This is followed by an account of the use of transfer matrices for the location of incipient phase transitions in one-dimensionally infinite models and for exact solutions for two-dimensionally infinite systems. The latter is applied to a general analysis of eight-vertex models yielding as special cases the two-dimensional Ising model and the six-vertex model. The treatment of exact results ends with a discussion of dimer models. In Part IV series methods and real-space renormalization group transformations are discussed. The use of the De Neef—Enting finite-lattice method is described in detail and applied to the derivation of series for a number of model systems, in particular for the Potts model. The use of Pad\'e, differential and algebraic approximants to locate and analyze second- and first-order transitions is described. The realization of the ideas of scaling theory by the renormalization group is presented together with treatments of various approximation schemes including phenomenological renormalization. Part V of the book contains a collection of mathematical appendices intended to minimise the need to refer to other mathematical sources.
Statistical Mechanics Of Lattice Systems
DOWNLOAD
Author : Sacha Friedli
language : en
Publisher: Cambridge University Press
Release Date : 2017-11-23
Statistical Mechanics Of Lattice Systems written by Sacha Friedli and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-23 with Mathematics categories.
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Modeling Complex Systems
DOWNLOAD
Author : Nino Boccara
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-09
Modeling Complex Systems written by Nino Boccara and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-09 with Computers categories.
This book illustrates how models of complex systems are built up and provides indispensable mathematical tools for studying their dynamics. This second edition includes more recent research results and many new and improved worked out examples and exercises.
Modeling Of Complex Systems
DOWNLOAD
Author : P. Garrido
language : en
Publisher: American Institute of Physics
Release Date : 2003-04-04
Modeling Of Complex Systems written by P. Garrido and has been published by American Institute of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-04 with Computers categories.
Annotation The seminar is a small topical conference whose pedagogical focus is on young researchers. The 34 main lectures and other invited talks discuss such topics as exploring complex graphs by random walks, critical behavior of binary production reaction-diffusion systems, the plastic phase of driven vortex crystals, real space statistical properties of standard cosmological models, and basic concepts and physical implementations of quantum computation. In addition, 40 half- page abstracts summarize a selection of contributed papers. Those topics include the Yaldran-Khan catalyzed reaction model, the role of interfaces in the propagation of damage in the confined Ising model, and theories of the motion of the satellites of Mars. There is no indexing other than an author list. Annotation (c)2003 Book News, Inc., Portland, OR (booknews.com)
Complexity Measurements And Causation For Dynamic Complex Systems
DOWNLOAD
Author : Juan Guillermo Diaz Ochoa
language : en
Publisher: Springer Nature
Release Date : 2025-03-13
Complexity Measurements And Causation For Dynamic Complex Systems written by Juan Guillermo Diaz Ochoa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-13 with Science categories.
This book examines the problems of causal determinism and limited completeness in systems theory. Furthermore, the author analyzes options for complexity measurements that include systems’ autonomy and variability for causal inference—i.e., the ability to derive causal relationships from data recorded as a function of time. Such complexity measures present limitations in the derivation of absolute causality in complex systems and the recognition of relative and contextual causality, with practical consequences for causal inference and modeling. Finally, the author provides concepts for relative causal determinism. As a result, new ideas are presented to explore the frontiers of systems theory, specifically in relation to biological systems and teleonomy, i.e., evolved biological purposiveness. This book is written for graduate students in physics, biology, medicine, social sciences, economics, and engineering who are seeking new concepts of causal inference applied in systems theory. It is also intended for scientists with an interest in philosophy and philosophers interested in the foundations of systems theory. Additionally, data scientists seeking new methods for the analysis of time series to extract features useful for machine learning will find this book of interest.
The Physics Of Complex Systems New Advances And Perspectives
DOWNLOAD
Author : F. Mallamace
language : en
Publisher: IOS Press
Release Date : 2004-11-24
The Physics Of Complex Systems New Advances And Perspectives written by F. Mallamace and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-24 with Science categories.
It is widely known that complex systems and complex materials comprise a major interdisciplinary scientific field that draws on mathematics, physics, chemistry, biology, and medicine as well as such social sciences as economics. The role of statistical physics in this new field has been expanding. Statistical physics has shown how phenomena and processes in different research areas that have long been assumed to be unrelated can have a common description. Through the application of statistical physics, methods developed for studying order phenomena in simple systems and processes have been generalized to more complex systems. The two conceptual pillars in this approach are scaling and universality. This volume focuses on recent advances and perspectives in the physics of complex systems and provides both an overview of the field and a more detailed examination of the new ideas and unsolved problems that are currently attracting the attention of researchers. This book should be a useful reference work for anyone interested in this area, whether beginning graduate student or advanced research professional. It provides up-to-date reviews on cutting-edge topics compiled by leading authorities and is designed to both broaden the reader’s competence within their own field and encourage the exploration of new problems in related fields.
Localized Excitations In Nonlinear Complex Systems
DOWNLOAD
Author : Ricardo Carretero-González
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-19
Localized Excitations In Nonlinear Complex Systems written by Ricardo Carretero-González and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-19 with Science categories.
The study of nonlinear localized excitations is a long-standing challenge for research in basic and applied science, as well as engineering, due to their importance in understanding and predicting phenomena arising in nonlinear and complex systems, but also due to their potential for the development and design of novel applications. This volume is a compilation of chapters representing the current state-of-the-art on the field of localized excitations and their role in the dynamics of complex physical systems.
Proceedings Of The European Conference On Complex Systems 2012
DOWNLOAD
Author : Thomas Gilbert
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-15
Proceedings Of The European Conference On Complex Systems 2012 written by Thomas Gilbert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-15 with Science categories.
The European Conference on Complex Systems, held under the patronage of the Complex Systems Society, is an annual event that has become the leading European conference devoted to complexity science. ECCS'12, its ninth edition, took place in Brussels, during the first week of September 2012. It gathered about 650 scholars representing a wide range of topics relating to complex systems research, with emphasis on interdisciplinary approaches. More specifically, the following tracks were covered: 1. Foundations of Complex Systems 2. Complexity, Information and Computation 3. Prediction, Policy and Planning, Environment 4. Biological Complexity 5. Interacting Populations, Collective Behavior 6. Social Systems, Economics and Finance This book contains a selection of the contributions presented at the conference and its satellite meetings. Its contents reflect the extent, diversity and richness of research areas in the field, both fundamental and applied.
Mathematical And Computational Methods For Complex Social Systems
DOWNLOAD
Author : Heather Z. Brooks
language : en
Publisher: American Mathematical Society
Release Date : 2025-04-17
Mathematical And Computational Methods For Complex Social Systems written by Heather Z. Brooks and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-17 with Mathematics categories.
The spread of memes and misinformation on social media, political redistricting, gentrification in urban communities, pedestrian movement in crowds, and the dynamics of voters are among the many social phenomena that researchers investigate in the field of complex systems. In the study of complex social systems, there is often also societal relevance to improving our understanding of how individuals interact with each other and their environment, giving rise to collective group dynamics. The mathematical and computational study of complex social systems relies on and motivates the development of methods in many topics, including mathematical modeling, data analysis, network science, and topology and geometry. This volume is a collection of diverse articles about complex social systems. This collection includes both (1) survey and tutorial articles that introduce complex social systems and methods to study them and (2) manuscripts with original research that highlight a variety of mathematical areas and applications. This book introduces the study of complex social systems to a broad mathematical audience. It will particularly appeal to people who are interested in applied mathematics.
The Physics Of Complex Systems
DOWNLOAD
Author : F. Mallamace
language : en
Publisher: IOS Press
Release Date : 1997
The Physics Of Complex Systems written by F. Mallamace and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Science categories.
This volume focuses on the area of the physics of complex systems and provides both an overview of the field and more detailed examination of those topics within the field that are currently of greatest interest to researchers. The properties of complex systems play an important role in a variety of different and overlapping areas in physics, chemistry, biology, mathematics and technology. The research field of complex systems is very broad, but this volume attempts to be comprehensive. This book is a useful reference work for researchers in this area, whether graduate students or advanced academics. Up-to-date reviews of cutting-edge topics are provided, compiled by leading authorities and designed to both broaden the reader's insight and encourage the exploration of new problems in related fields. An overview of the present status of the physics of complex systems is provided on the following general topics: (1) scaling behaviours; (2) supramolecular systems; (3) aggregation, aggregation kinetics and disorderly growth mechanisms; (4) granularly matter; (5) polymers, associating polymers, polyelectrolytes and gels; (6) amphiphiles, emulsions, colloids, membranes and interface phenomena; (7) molecular motors; (8) phase separation and out of equilibrium dynamics; (9) turbulence, chaos and chaotic dynamics; (10) glass transition, supercooled fluids and (11) geometrically constrained dynamics.